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Finding the Fourth Proportional to 277.36, 416.01 and 82.34

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Solution

The fourth proportional to 277.36, 416.01 and 82.34 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.36 : 416.01 = 82.34 : x
  2. Step 2: Convert to fraction form
    277.36/416.01 = 82.34/x
  3. Step 3: Cross multiply
    277.36x = 416.01 × 82.34
  4. Step 4: Simplify right side
    277.36x = 34,254.26
  5. Step 5: Solve for x
    x = 34,254.26/277.36
  6. Step 6: Final answer
    x = 123.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.